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1113133102101 = 32613835293903
BaseRepresentation
bin10000001100101011111…
…001110011010000010101
310221102012011022110221200
4100030223321303100111
5121214144033231401
62211211041303113
7143264322152646
oct20145371632025
93842164273850
101113133102101
1139a093686a89
1215b896034a99
1380c779106c7
143bc3979d6cd
151de4d945686
hex1032be73415

1113133102101 has 24 divisors (see below), whose sum is σ = 1638484463616. Its totient is φ = 728017403040.

The previous prime is 1113133102057. The next prime is 1113133102139. The reversal of 1113133102101 is 1012013313111.

1113133102101 is a `hidden beast` number, since 11 + 131 + 3 + 310 + 210 + 1 = 666.

It is not a de Polignac number, because 1113133102101 - 210 = 1113133101077 is a prime.

It is a super-2 number, since 2×11131331021012 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113133102181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2436685 + ... + 2857218.

It is an arithmetic number, because the mean of its divisors is an integer number (68270185984).

Almost surely, 21113133102101 is an apocalyptic number.

It is an amenable number.

1113133102101 is a deficient number, since it is larger than the sum of its proper divisors (525351361515).

1113133102101 is a wasteful number, since it uses less digits than its factorization.

1113133102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294353 (or 5294350 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1113133102101 its reverse (1012013313111), we get a palindrome (2125146415212).

The spelling of 1113133102101 in words is "one trillion, one hundred thirteen billion, one hundred thirty-three million, one hundred two thousand, one hundred one".

Divisors: 1 3 9 61 183 383 549 1149 3447 23363 70089 210267 5293903 15881709 47645127 322928083 968784249 2027564849 2906352747 6082694547 18248083641 123681455789 371044367367 1113133102101